Noah wants to make the kite shown below out of cloth.
16.3cm
42.7cm
16.3cm
22.5 cm
He wants to determine how much cloth he needs. What is the area, rounded to the nearest square centimeter of Noah’s kite?
To find the area of the kite, we need to first calculate the two triangles on the top and bottom of the kite, and then add them together.
The top triangle has a base of 16.3cm and a height of 42.7cm:
Area of top triangle = (1/2) * base * height
Area of top triangle = (1/2) * 16.3cm * 42.7cm
Area of top triangle = 348.05 square cm
The bottom triangle has a base of 16.3cm and a height of 22.5cm:
Area of bottom triangle = (1/2) * base * height
Area of bottom triangle = (1/2) * 16.3cm * 22.5cm
Area of bottom triangle = 183.23 square cm
Now, add the areas of the two triangles to get the total area of the kite:
Total area = 348.05 square cm + 183.23 square cm
Total area = 531.28 square cm
Therefore, Noah will need approximately 531 square centimeters of cloth to make his kite.